Vertical Articulation of Individual
Grade Expectations for Mathematics
Vermont‘s Framework of Standards and Learning Opportunities 

Standard  M:9 Properties of shapes and angles.

Introduction: 

MK: 9   Uses attributes, composition, or decomposition to sort or classify objects using at least one attribute (e.g., color). Recognizes
  and names polygons (triangles, squares, rectangles) and circles in their environment.

Kindergarten

MK: 8   No MK: 8 at this grade level

First Grade

M1: 9   Uses attributes, composition, or decomposition to sort or classify polygons (triangles, squares, rectangles, rhombi, trapezoids,
and hexagons) or objects by a combination of two non-measurable or  measurable attributes. Recognizes and names polygons and
circles in their environment.

Second Grade

M2: 9 Uses properties, attributes, composition, or decomposition to sort or classify polygons or objects by a combination of two or more
          non-measurable or measurable attributes.  M(G&M)–2–1

Third grade

M3: 9 Uses properties or attributes of angles (number of angles) or sides (number of sides or length of sides) or composition or decomposition of
shapes to identify, describe, or distinguish among triangles, squares, rectangles, rhombi, trapezoids, hexagons, or circles. M(G&M)–3–1

Fourth Grade

M4: 9 Uses properties or attributes of angles (number of angles) or sides (number of sides, length of sides, parallelism, or perpendicularity) to identify,
describe, or distinguish among triangles, squares, rectangles, rhombi, trapezoids, hexagons, or octagons; or classify angles relative to 90^o as
more than, less than, or equal to.  M(G&M)–4–1  Recognizes symmetrical figures and uses symmetry to identify and classify figures.

Fifth grade

M5: 9 Uses properties or attributes of angles (right, acute, or obtuse) or sides (number of congruent sides, parallelism, or perpendicularity) to identify, describe,
classify, or distinguish among different types of triangles (right, acute, obtuse, equiangular, or equilateral) or quadrilaterals (rectangles, squares,
rhombi, trapezoids, or parallelograms). M(G&M)–5–1

Sixth Grade

M6: 9 Uses properties or attributes of angles (right, acute, or obtuse) or sides (number of congruent sides, parallelism, or perpendicularity) to identify,
         describe, classify, or distinguish among different types of triangles (right, acute, obtuse, equiangular, scalene, isosceles, or equilateral) or
         quadrilaterals (rectangles, squares, rhombi, trapezoids, or parallelograms).M(G&M)–6–1

Seventh Grade

M7: 9 Uses properties of angle relationships resulting from two or three intersecting lines (adjacent angles, vertical angles, straight angles, or angle 
          relationships formed by two nonparallel lines cut by a transversal), or two parallel lines cut by a transversal to solve problems. M(G&M)–7–1

Eighth Grade

M8:  9 Models situations geometrically. Uses properties and attributes of lines, angles, and two-and three-dimensional shapes) to formulate and
          solve problems.

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